Doubly-encrypted secret parts allowing for assembly of a secret using a subset of the doubly-encrypted secret parts

1. A system comprising:

at least one processor; and

at least one memory communicatively coupled to the at least one processor;

wherein the at least one processor is configured to:

encrypt each corresponding secret part of at least one set of secret parts into a corresponding singly-encrypted secret part by exclusive ORing (XORing) each secret part with at least one corresponding symmetric key to produce the corresponding singly-encrypted secret part;

encrypt each corresponding singly-encrypted secret part into a corresponding doubly-encrypted secret part using a corresponding at least one public key, the corresponding at least one public key belonging to a corresponding one of at least one public/private keypair;

wherein each corresponding doubly-encrypted secret part is distributed to a respective part holder of a plurality of part holders; and

wherein two or more doubly-encrypted secret parts are received from two or more part holders of the plurality of part holders;

wherein the two or more doubly-encrypted secret parts are used to reconstruct a secret.

2. The system of claim 1 , wherein the at least one corresponding symmetric key for a first secret part and a second secret part is identical.

3. The system of claim 1 , wherein the at least one corresponding symmetric key for a first secret part and a second secret part is distinct.

4. The system of claim 1 ,

wherein each corresponding singly-encrypted secret part is encrypted using a single public key, the single public key belonging to a single public/private keypair;

wherein the single public/private keypair also includes a corresponding private key.

5. The system of claim 1 , wherein each doubly-encrypted secret part is encrypted using both at least one symmetric key and a public key belonging to the corresponding one of the at least one public/private keypair.

6. The system of claim 1 , wherein each doubly-encrypted secret part is encrypted twice using a public key belonging to the corresponding one of the at least one public/private keypair.

7. The system of claim 1 , wherein each doubly-encrypted secret part is encrypted using both at least one symmetric key and a corresponding part holder public key belonging to a corresponding part holder public/private keypair.

8. A system comprising:

at least one processor; and

at least one memory communicatively coupled to the at least one processor;

wherein the at least one processor is configured to:

encrypt each corresponding secret part of at least one set of secret parts into a corresponding singly-encrypted secret part;

encrypt each corresponding singly-encrypted secret part into a corresponding doubly-encrypted secret part using a corresponding at least one public key, the corresponding at least one public key belonging to a corresponding one of at least one public/private keypair;

wherein two or more secret parts of the at least one set of secret parts are used to reconstruct a secret;

decrypt at least one doubly-encrypted secret part into at least one singly-encrypted secret part using a corresponding at least one private key, the corresponding at least one private key belonging to a corresponding public/private keypair of the at least one public/private keypair; and

re-encrypt each corresponding singly-encrypted part of the at least one singly-encrypted secret part using a corresponding second public key, the corresponding second public key belonging to a second public/private keypair.

9. The system of claim 8 , wherein each secret part of the at least one set of secret parts is encrypted into the corresponding singly-encrypted secret part using at least one corresponding symmetric key.

10. The system of claim 8 , wherein each secret part is encrypted into the corresponding singly-encrypted secret part using the corresponding at least one public key belonging to the corresponding one of the at least one public/private keypair.

11. The system of claim 8 , wherein each doubly-encrypted secret part is encrypted using both at least one symmetric key and a public key belonging to the corresponding one of the at least one public/private keypair.

12. The system of claim 8 , wherein each doubly-encrypted secret part is encrypted twice using a public key belonging to the corresponding one of the at least one public/private keypair.

13. A system comprising:

at least one processor; and

at least one memory communicatively coupled to the at least one processor;

wherein the at least one processor is configured to:

encrypt each corresponding secret part of at least one set of secret parts into a corresponding singly-encrypted secret part;

encrypt each corresponding singly-encrypted secret part into a corresponding doubly-encrypted secret part using a corresponding at least one public key, the corresponding at least one public key belonging to a corresponding one of at least one public/private keypair;

wherein two or more secret parts of the at least one set of secret parts are used to reconstruct a secret;

receive a plurality of doubly-encrypted secret parts;

decrypt each corresponding doubly-encrypted secret part into the corresponding singly-encrypted secret part using a corresponding private key belonging to the corresponding one of the at least one public/private keypair;

decrypt each corresponding singly-encrypted secret part into a corresponding secret part of a plurality of corresponding secret parts; and

reconstruct the secret from a quantity of the plurality of corresponding secret parts, wherein the quantity is a second subset of a total number of secret parts previously created from the secret.

14. The system of claim 13 ,

wherein each doubly-encrypted secret part is distributed to a respective part holder;

wherein the plurality of doubly-encrypted secret parts are received from a plurality of part holders.

15. The system of claim 13 , wherein each secret part of the at least one set of secret parts is encrypted into the corresponding singly-encrypted secret part using at least one corresponding symmetric key.

16. The system of claim 13 , wherein each secret part of the at least one set of secret parts is encrypted into the corresponding singly-encrypted secret part using the corresponding at least one public key belonging to the corresponding one of the at least one public/private keypair.

17. The system of claim 13 , wherein each doubly-encrypted secret part is encrypted using both at least one symmetric key and a public key belonging to the corresponding one of the at least one public/private keypair.

18. The system of claim 13 , wherein each doubly-encrypted secret part is encrypted twice using a public key belonging to the corresponding one of the at least one public/private keypair.

19. A system comprising:

at least one processor; and

at least one memory communicatively coupled to the at least one processor;

wherein the at least one processor is configured to:

encrypt each corresponding secret part of at least one set of secret parts into a corresponding singly-encrypted secret part;

encrypt each corresponding singly-encrypted secret part into a corresponding doubly-encrypted secret part using a corresponding at least one public key, the corresponding at least one public key belonging to a corresponding one of at least one public/private keypair;

wherein each doubly-encrypted secret part is distributed to a respective part holder of a plurality of part holders;

wherein two or more doubly-encrypted secret parts are received from two or more part holders of the plurality of part holders;

reconstruct a secret from the two or more doubly-encrypted secret parts, wherein the secret is a symmetric encryption key; and

perform an action with the symmetric encryption key.

20. The system of claim 19 , wherein the action comprises at least one of the following actions using the symmetric encryption key:

encrypting first data;

decrypting second data;

generating a transaction address; or

signing a transaction.

21. The system of claim 19 , wherein each doubly-encrypted secret part is encrypted using both at least one symmetric key and a public key belonging to the corresponding one of the at least one public/private keypair.

22. The system of claim 19 , wherein each doubly-encrypted secret part is encrypted twice using a public key belonging to the corresponding one of the at least one public/private keypair.